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March 28, 2017

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Let Q be an acute angle such that sinQ=.6. Find the values of the following using Trig Identities: cosQ and tanQ

  • trig - ,

    sin^-1(.6) = 36.8 degrees

    cos36.8 = .80
    tan36.8 = .748

  • trig - ,

    They probably wanted exact values without using a calculator.

    given sinQ = .6 = 6/10 or 3/5
    so Q is in a right angled triangle with opposite side of 3 and hypotenuse of 5.
    You should recognize the famous 3-4-5 right-angled triangle.
    then
    cosQ = 4/5 or .8
    tanQ = 3/4 or .75

    these values are "exact"

  • trig - ,

    You can do it this way:
    sin^2 + cos^2=1
    .36+cos^2=1
    solve for cosTheta.
    Then finally, tanTheta= sinTheta/CosTheta

  • trig - ,

    your amazing.

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